CPhill

x = 33°

z = 109°

y =  [180 - 33 - 109 ] °  =  38°

4(x-6y)  =  4x - 24y

1/2(c-8) =   (1/2)c - 4

(d+2)(-7)   =  -7d - 14

tan(x/2) = -1

tan(x) = -1      at   x =   -pi/4

So    x/2  =  -pi/4   →    x  =  -2pi/4  =  -pi/2

√​(39y​⁹ ) =

y⁴ √​(39y​)

A' B' has the same slope as AB

(8/17, 15/17)

sin θ  = y / r  = (15/17)  / 1  =   15/17

2^2 + 4^2 + 6^2... 20^2 =

(1 * 2)^2 + (2 * 2)^2  + (3 * 2)^2 +..... + (10 * 2)^2  =

2^2 [  1^2 + 2^2 + 3^2 + .....+ 10^2]  =

4  [ n * (n + 1) *(2n + 1) ] / 6   =

(2/3) [ 10 * 11 * 21]  =

1540

Estimate  .....between 2 and 3 qts

2/70  = 1/35

1/35 * 90  =

90/35  =

18/7 =

2 + 4/7  qts  ≈ 2.57 qts

sin A =  -21/29

cos A  = 20/29

sin B = 24/25

cos B = -7/25

cos ( A + B) =

cos(A)cos(B) - sin(A)sin(B) =

[20/29 * -7/25]   -  [-21/29 * 24/25 ]  =

[ -140 + 504 ] / 725  =

364 / 725  ≈  0.5020689655172414